Answer by Dr Xorile for Polygonal Pizza
Take a line and roll it along until it divides the pizza into two equal halves. Then take a second line, perpendicular to the first and roll it along until it divides the pizza into two equal halves....
View ArticleAnswer by xnor for Polygonal Pizza
By continuity, for any cut angle, there's a unique cut that slices the pizza into two equal-area segments. Moreover, the cut placement is continuous in the angle, since for close angles, the lines are...
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Answer by Prem for Polygonal Pizza
Draw two perpendicular lines, such that line1 & line2 intersect at P & line1 is at some angle theta (say 0) to x-axis.Number the 4 quadrants Q1,Q2,Q3,Q4.Move the intersection P along line1 ,...
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Polygonal Pizza
Four friends want to share a pizza. However, the pizza became badly misshapen en route; though it is still flat, it is now shaped like some arbitrary polygon. Prove that it is still possible to cut the...
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